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Finding the Third Proportional to 659,307,113,106 and 1,428,145,262,597

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Solution

The third proportional to 659,307,113,106 and 1,428,145,262,597 is: 3,093,549,046,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,307,113,106 : 1,428,145,262,597 = 1,428,145,262,597 : x
  2. Step 2: Convert to fraction form
    659,307,113,106/1,428,145,262,597 = 1,428,145,262,597/x
  3. Step 3: Cross multiply
    659,307,113,106x = 1,428,145,262,597 × 1,428,145,262,597
  4. Step 4: Simplify right side
    659,307,113,106x = 2,039,598,891,078,254,055,129,088
  5. Step 5: Solve for x
    x = 2,039,598,891,078,254,055,129,088/659,307,113,106
  6. Step 6: Final answer
    x = 3,093,549,046,467.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.